MinT - Information on Result #906583

Information on Result #906583

Linear OOA(7⁴², 36, F₇, 2, 23) (dual of [(36, 2), 30, 24]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7³, 6, F₇, 2, 3) (dual of [(6, 2), 9, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7³, 7, F₇, 2, 3) (dual of [(7, 2), 11, 4]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;11,7) [i]
linear OOA(7⁴, 6, F₇, 2, 4) (dual of [(6, 2), 8, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁴, 7, F₇, 2, 4) (dual of [(7, 2), 10, 5]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;10,7) [i]
linear OOA(7⁵, 6, F₇, 2, 5) (dual of [(6, 2), 7, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁵, 7, F₇, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;9,7) [i]
linear OOA(7⁷, 6, F₇, 2, 7) (dual of [(6, 2), 5, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁷, 7, F₇, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;7,7) [i]
linear OOA(7¹¹, 6, F₇, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
- dual of repetition NRT-code with length 6 [i]
linear OOA(7¹², 6, F₇, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁴⁰, 35, F₇, 2, 21) (dual of [(35, 2), 30, 22]-NRT-code)	[i]		Truncation for OOAs